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Finding the Fourth Proportional to 516.21, 712.40 and 339.18

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Solution

The fourth proportional to 516.21, 712.40 and 339.18 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 712.40 = 339.18 : x
  2. Step 2: Convert to fraction form
    516.21/712.40 = 339.18/x
  3. Step 3: Cross multiply
    516.21x = 712.40 × 339.18
  4. Step 4: Simplify right side
    516.21x = 241,631.83
  5. Step 5: Solve for x
    x = 241,631.83/516.21
  6. Step 6: Final answer
    x = 468.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.